38996640000 has 1080 divisors, whose sum is σ = 156890653920. Its totient is φ = 9621504000.

The previous prime is 38996639987. The next prime is 38996640029. The reversal of 38996640000 is 4669983.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 660959971 + ... + 660960029.

It is an arithmetic number, because the mean of its divisors is an integer number (145269124).

Almost surely, 2^38996640000 is an apocalyptic number.

38996640000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38996640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78445326960).

38996640000 is an abundant number, since it is smaller than the sum of its proper divisors (117894013920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38996640000 is an frugal number, since it uses more digits than its factorization.

38996640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38996640000 in words is "thirty-eight billion, nine hundred ninety-six million, six hundred forty thousand".